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A normal to the hyperbola x^2-4y^2=4 mee...

A normal to the hyperbola `x^2-4y^2=4` meets the x and y axes at A and B. The locus of the point of intersection of the straight lines drawn through A and B perpendicular to the x and y-axes respectively is

A

`4x^(2) - y^(2) = 25`

B

`4x^(2) + y^(2) = 25`

C

`x^(2) + 4y^(2) = 25`

D

`x^(2) + y^(2) = 25`

Text Solution

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The correct Answer is:
A
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